The non-birefringent limit of all linear, skewonless media and its unique light-cone structure

Details The non-birefringent limit of all linear, skewonless media and its unique light-cone structure The non-birefringent limit of all linear, skewonless media and its unique light-cone structure

2010-08-13

arxiv.org/abs/1008.2343v4

Physics

Optics

12 pages, REVTeX; v2: typos; v3: relevant changes in text, reorganization of manuscript; v4: new section added, final version,

Scientific paper

10.1002/andp.201000140

Based on a recent work by Schuller et al., a geometric representation of all skewonless, non-birefringent, linear media is obtained. The derived constitutive law is based on a "core", encoding the optical metric up to a constant. All further corrections are provided by two (anti-)selfdual bivectors, and an "axion". The bivectors are found to vanish if the optical metric has signature (3,1) - that is, if the Fresnel equation is hyperbolic. We propose applications of this result in the context of transformation optics and premetric electrodynamics.

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